(6w-4)(w+9)=

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Solution for (6w-4)(w+9)= equation:


Simplifying
(6w + -4)(w + 9) = 0

Reorder the terms:
(-4 + 6w)(w + 9) = 0

Reorder the terms:
(-4 + 6w)(9 + w) = 0

Multiply (-4 + 6w) * (9 + w)
(-4(9 + w) + 6w * (9 + w)) = 0
((9 * -4 + w * -4) + 6w * (9 + w)) = 0
((-36 + -4w) + 6w * (9 + w)) = 0
(-36 + -4w + (9 * 6w + w * 6w)) = 0
(-36 + -4w + (54w + 6w2)) = 0

Combine like terms: -4w + 54w = 50w
(-36 + 50w + 6w2) = 0

Solving
-36 + 50w + 6w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + 25w + 3w2) = 0

Factor a trinomial.
2((-9 + -1w)(2 + -3w)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-9 + -1w)' equal to zero and attempt to solve: Simplifying -9 + -1w = 0 Solving -9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1w = 0 + 9 -1w = 0 + 9 Combine like terms: 0 + 9 = 9 -1w = 9 Divide each side by '-1'. w = -9 Simplifying w = -9

Subproblem 2

Set the factor '(2 + -3w)' equal to zero and attempt to solve: Simplifying 2 + -3w = 0 Solving 2 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = 0 + -2 -3w = 0 + -2 Combine like terms: 0 + -2 = -2 -3w = -2 Divide each side by '-3'. w = 0.6666666667 Simplifying w = 0.6666666667

Solution

w = {-9, 0.6666666667}

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